Perturbative formulation for nonlinear chromaticity of circular accelerators

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 1 2, 2004, Pages

  Takao, Masaru ^a   Tanaka, Hitoshi ^a   Soutome, Kouichi ^a   Schimizu, Jun ^a,b  

^a SPring 8 ^*  (Japan)

^b Japan Research Institute Ltd   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BETATRONS; CONVERGENCE OF NUMERICAL METHODS; FOURIER TRANSFORMS; HAMILTONIANS; HIGH ENERGY PHYSICS; INTEGER PROGRAMMING; INTEGRAL EQUATIONS; MAGNETS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; RESONANCE; STORAGE RINGS;

CIRCULAR ACCELERATORS; DISPERSION FUNCTIONS; FOURIER SERIES; NONLIUEAR CHROMATICITY;

PARTICLE ACCELERATORS;

EID: 37649027559     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.016501     Document Type: Article

References (15)

1. H. Wiedemann, Preprint PEP-220, 1976 (unpublished); Particle Accelerator Physics II, 2nd ed. (Springer-Verlag, Berlin, 1999).
2. H. Wiedemann, Preprint PEP-220, 1976 (unpublished); Particle Accelerator Physics II, 2nd ed. (Springer-Verlag, Berlin, 1999).
3. P. Morton, Preprint PEP-221, 1976. (unpublished).
4. M. H. R. Donald, Preprint RL-76-052, 1976 (unpublished); M. H. R. Donald, P. L. Morton, and H. Wiedemamm, Preprint SLAC-PUB- 1910, PEP-242, 1977 (unpublished); M. H. R. Donald, Preprint PEP-311, 1979 (unpublished).
5. M. Bassetti, Technische Notiz PET-77/35, 1977 (unpublished).
6. J. Jäger and D. Möhl, Preprint PS/TDL/LEAR/Note 81-7, 1981 (unpublished).
7. T. Sen and M. J. Syphers, in Proceedings of the 1993 Particle Accelerator Conference, edited by S. T. Corneliusseen (IEEE, Piscataway, NJ, 1993), p. 140.
8. A. Verdier, in Proceedings of the 1993 Particle Accelerator Conference, edited by S. T. Corneliusseen (IEEE, Piscataway, NJ, 1993), p. 249; A. Verdier, CERN 95-06, 1995 (unpub lished), p. 77.
9. A. Verdier, in Proceedings of the 1993 Particle Accelerator Conference, edited by S. T. Corneliusseen (IEEE, Piscataway, NJ, 1993), p. 249; A. Verdier, CERN 95-06, 1995 (unpub lished), p. 77.
10. S. Fartoukh, Preprint LHC Project Report No. 308 (unpublished).
11. K. Soutome, M. Takao, and H. Tanaka, in Proceedings of 6th European Particle Accelerator Conference, Stockholm, 1998, edited by S. Meyers, L. Liljeby, Ch. Petit-Jean-Genaz, J. Poole, and K.-G. Rensfelt (Institute of. Physics Publishing, Bristol and Philadelphia, 1999), p. 924; H. Tanaka, et al., Nucl. Instrum. Methods Phys. Res. A 431, 396 (1999).
12. K. Soutome, M. Takao, and H. Tanaka, in Proceedings of 6th European Particle Accelerator Conference, Stockholm, 1998, edited by S. Meyers, L. Liljeby, Ch. Petit-Jean-Genaz, J. Poole, and K.-G. Rensfelt (Institute of. Physics Publishing, Bristol and Philadelphia, 1999), p. 924; H. Tanaka, et al., Nucl. Instrum. Methods Phys. Res. A 431, 396 (1999).
13. B. P. Barger, G. Ripken, and F. Schmidt, Preprint DESY 87-036, 1987 (unpublished).
14. E. D. Courant and H. S. Snyder, Ann. Phys. (N.Y.) 3, 1 (1958).
15. F. Willeke and G. Ripken, in Physics of Particle Accelerators, edited by Melvin Month and Margaret Dienes, AIP Conf. Proc. No: 184 (AIP, New York, 1989), p. 758.